Viscosity Approximation Methods with Errors and Strong Convergence Theorems for a Common Point of Pseudocontractive and Monotone Mappings: Solutions of Variational Inequality Problems
We introduce two proximal iterative algorithms with errors which converge strongly to the common solution of certain variational inequality problems for a finite family of pseudocontractive mappings and a finite family of monotone mappings. The strong convergence theorems are obtained under some mil...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/871026 |
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| _version_ | 1832554271559647232 |
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| author | Yan Tang |
| author_facet | Yan Tang |
| author_sort | Yan Tang |
| collection | DOAJ |
| description | We introduce two proximal iterative algorithms with errors which converge strongly to the common solution of certain variational inequality problems for a finite family of pseudocontractive mappings and a finite family of monotone mappings. The strong convergence theorems are obtained under some mild conditions. Our theorems extend and unify some of the results that have been proposed for this class of nonlinear mappings. |
| format | Article |
| id | doaj-art-25abd2a646dc4d88b339e6f56bded906 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-25abd2a646dc4d88b339e6f56bded9062025-02-03T05:51:53ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/871026871026Viscosity Approximation Methods with Errors and Strong Convergence Theorems for a Common Point of Pseudocontractive and Monotone Mappings: Solutions of Variational Inequality ProblemsYan Tang0College of Mathematics and Statistics, Chongqing Technology and Business University, Chongqing 400067, ChinaWe introduce two proximal iterative algorithms with errors which converge strongly to the common solution of certain variational inequality problems for a finite family of pseudocontractive mappings and a finite family of monotone mappings. The strong convergence theorems are obtained under some mild conditions. Our theorems extend and unify some of the results that have been proposed for this class of nonlinear mappings.http://dx.doi.org/10.1155/2014/871026 |
| spellingShingle | Yan Tang Viscosity Approximation Methods with Errors and Strong Convergence Theorems for a Common Point of Pseudocontractive and Monotone Mappings: Solutions of Variational Inequality Problems Abstract and Applied Analysis |
| title | Viscosity Approximation Methods with Errors and Strong Convergence Theorems for a Common Point of Pseudocontractive and Monotone Mappings: Solutions of Variational Inequality Problems |
| title_full | Viscosity Approximation Methods with Errors and Strong Convergence Theorems for a Common Point of Pseudocontractive and Monotone Mappings: Solutions of Variational Inequality Problems |
| title_fullStr | Viscosity Approximation Methods with Errors and Strong Convergence Theorems for a Common Point of Pseudocontractive and Monotone Mappings: Solutions of Variational Inequality Problems |
| title_full_unstemmed | Viscosity Approximation Methods with Errors and Strong Convergence Theorems for a Common Point of Pseudocontractive and Monotone Mappings: Solutions of Variational Inequality Problems |
| title_short | Viscosity Approximation Methods with Errors and Strong Convergence Theorems for a Common Point of Pseudocontractive and Monotone Mappings: Solutions of Variational Inequality Problems |
| title_sort | viscosity approximation methods with errors and strong convergence theorems for a common point of pseudocontractive and monotone mappings solutions of variational inequality problems |
| url | http://dx.doi.org/10.1155/2014/871026 |
| work_keys_str_mv | AT yantang viscosityapproximationmethodswitherrorsandstrongconvergencetheoremsforacommonpointofpseudocontractiveandmonotonemappingssolutionsofvariationalinequalityproblems |